Question

Proving $3^n+2(17^n)$ can't be a perfect square for all positive integers n.

score 350 · Answer 1 · 2017-10-27 20:28:11

350

Views

Proving $3^n+2(17^n)$ can't be a perfect square for all positive integers n.

Published on 27 Oct 2017 - 20:28

score 87 · Answer 2 · 2017-11-02 22:28:27

87

Views

The smallest positive quadratic nonresidue a modulo m (composite)

Published on 02 Nov 2017 - 22:28

score 309 · Answer 3 · 2017-11-03 11:41:40

309

Views

Question: How to find the smallest value $x$ satisfying the equation: $x^2 = a \pmod c$ (known is $a$ and $c$, $c$ is not the prime)?

Published on 03 Nov 2017 - 11:41

score 77 · Answer 4 · 2017-11-04 01:40:15

77

Views

Proof involving coprime integers with the same quadratic residue

Published on 04 Nov 2017 - 1:40

score 559 · Answer 5 · 2017-11-04 20:56:11

559

Views

Product of quadratic residues in terms of primitive root

Published on 04 Nov 2017 - 20:56

score 357 · Answer 6 · 2017-11-05 11:57:14

357

Views

Proving there are infinite primes of some form $a+nd$

Published on 05 Nov 2017 - 11:57

score 443 · Answer 7 · 2017-11-08 18:11:45

443

Views

Lagrange's Theorem and Quadratic Character of $-2$

Published on 08 Nov 2017 - 18:11

score 77 · Answer 8 · 2017-11-21 14:52:21

77

Views

Quadratic Residues, $y^2 \equiv q \bmod p,$

Published on 21 Nov 2017 - 14:52

score 396 · Answer 9 · 2017-11-23 12:09:00

396

Views

Number of quadratic residues for $p=4k+3$ and $p=4k+1$ less than $p/2$?

Published on 23 Nov 2017 - 12:09

score 430 · Answer 10 · 2017-11-23 13:21:49

430

Views

If $p\equiv3\pmod4$, and $n$ is the number of quadratic residues less than $p/2$, how can I show that $2\cdot4\cdots(p-1)\equiv(-1)^{n+k}$?

Published on 23 Nov 2017 - 13:21

score 54 · Answer 11 · 2017-11-26 11:09:06

54

Views

Rabin cryptosystem - How many solutions?

Published on 26 Nov 2017 - 11:09

score 247 · Answer 12 · 2017-11-30 07:52:50

247

Views

Show that a congruence has solution iff “something” is a quadratic residue

Published on 30 Nov 2017 - 7:52

score 36 · Answer 13 · 2017-12-03 06:37:44

36

Views

why $x^p-1=\prod_{i=0}^{p-1}(x-\alpha^i).$ , Quadratic residues

Published on 03 Dec 2017 - 6:37

score 496 · Answer 14 · 2017-12-06 20:56:25

496

Views

Quadratic Residues in mod n

Published on 06 Dec 2017 - 20:56

score 1k · Answer 15 · 2017-12-08 02:17:53

1k

Views

if $p$ is a prime such that $p \equiv 1 \pmod 4$ then the product of all the quadratic residues $\pmod p$ is congruent to $1$ mod $p$.

Published on 08 Dec 2017 - 2:17

List Question

Proving $3^n+2(17^n)$ can't be a perfect square for all positive integers n.

The smallest positive quadratic nonresidue a modulo m (composite)

Question: How to find the smallest value $x$ satisfying the equation: $x^2 = a \pmod c$ (known is $a$ and $c$, $c$ is not the prime)?

Proof involving coprime integers with the same quadratic residue

Product of quadratic residues in terms of primitive root

Proving there are infinite primes of some form $a+nd$

Lagrange's Theorem and Quadratic Character of $-2$

Quadratic Residues, $y^2 \equiv q \bmod p,$

Number of quadratic residues for $p=4k+3$ and $p=4k+1$ less than $p/2$?

If $p\equiv3\pmod4$, and $n$ is the number of quadratic residues less than $p/2$, how can I show that $2\cdot4\cdots(p-1)\equiv(-1)^{n+k}$?

Rabin cryptosystem - How many solutions?

Show that a congruence has solution iff “something” is a quadratic residue

why $x^p-1=\prod_{i=0}^{p-1}(x-\alpha^i).$ , Quadratic residues

Quadratic Residues in mod n

if $p$ is a prime such that $p \equiv 1 \pmod 4$ then the product of all the quadratic residues $\pmod p$ is congruent to $1$ mod $p$.

Trending Questions

Popular # Hahtags

Popular Questions